8915961600 has 1296 divisors, whose sum is σ = 41462867040. Its totient is φ = 1881169920.

The previous prime is 8915961583. The next prime is 8915961601. The reversal of 8915961600 is 61695198.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8915961601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 685843194 + ... + 685843206.

Almost surely, 2^8915961600 is an apocalyptic number.

8915961600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8915961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20731433520).

8915961600 is an abundant number, since it is smaller than the sum of its proper divisors (32546905440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8915961600 is an equidigital number, since it uses as much as digits as its factorization.

8915961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 8915961600 is about 94424.3697357838. The cubic root of 8915961600 is about 2073.5892360552.

The spelling of 8915961600 in words is "eight billion, nine hundred fifteen million, nine hundred sixty-one thousand, six hundred".